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Finding the Third Proportional to 5,204 and 7,563

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Solution

The third proportional to 5,204 and 7,563 is: 10,991.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,204 : 7,563 = 7,563 : x
  2. Step 2: Convert to fraction form
    5,204/7,563 = 7,563/x
  3. Step 3: Cross multiply
    5,204x = 7,563 × 7,563
  4. Step 4: Simplify right side
    5,204x = 57,198,969
  5. Step 5: Solve for x
    x = 57,198,969/5,204
  6. Step 6: Final answer
    x = 10,991.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.